College

We appreciate your visit to 2 A 60 kg diver jumps off a diving board with a height of 10 meters and accelerates toward the ground At the point shown. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

2. A 60 kg diver jumps off a diving board with a height of 10 meters and accelerates toward the ground. At the point shown in the diagram, she has 1,764 Joules of gravitational energy and 4,116 Joules of kinetic energy. What is the diver's total mechanical energy at that point?

A. 1,764 Joules
B. 2,352 Joules
C. 4,116 Joules
D. 5,880 Joules

Answer :

Answer:

D. 5880 Joules

Explanation:

When the diver is at the highest point it has the maximum potential energy and his kinetic energy is zero due to zero velocity. As the diver jumps and accelerates during the downward motion his kinetic energy increases with the increase in speed. While the gravitational potential energy of the diver decreases due to a decrease in the height of the diver. According to the law of conservation of energy the potential energy of the diver is being converted into its kinetic energy during the downward motion. But the total mechanical energy of the diver remains constant which is equal to the sum of gravitational energy and the kinetic energy of the diver at any point.

[tex]Mechanical\ Energy = Kinetic\ Energy + Gravitational\ Energy\\Mechanical\ Energy = 4116\ J + 1764\ J\\Mechanical\ Energy = 5880\ J[/tex]

Therefore the correct option is:

D. 5880 Joules

Thanks for taking the time to read 2 A 60 kg diver jumps off a diving board with a height of 10 meters and accelerates toward the ground At the point shown. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada